The instantaneous rate of change is simply equivalent to
the first derivative of the equation or function. We are given the equation of
Surface Area (A) with respect to side (x):
A = 6 x^2
Taking the first derivative of the equation:
dA = 12 x dx
dA / dx = 12 x
Now the term dA / dx is the instantaneous rate of change
in the surface area with respect to the side length. To get the rate of change
when the side x = a, simply plug this in into the equation:
rate of change = dA / dx = 12 x
so when x = a:
<span>rate of change = 12 a</span>
Answer:
B. 30
Step-by-step explanation:
A line is 180 degrees, so when we have 100, we subtract that from 180 to get the interior angle of 80.
A triangle has a sum of 180, so we just subtract 80 and 70 from 180 to get 30.
Hope this helps
Answer:
Step-by-step explanation:
answers: x = 7
x = -6
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Answer:
For this case we need to check the conditions in order to use the normal approximation:
1) 
2) 
Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:

The mean would be given by:

And the deviation is given by:

Step-by-step explanation:
For this case we know the following info:
n =60 represent the sample size
represent the estimated proportion of people that will buy a packet of crackers after tasting
For this case we need to check the conditions in order to use the normal approximation:
1) 
2) 
Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:

The mean would be given by:

And the deviation is given by:
